Publication detail

Discrete Wavelet Transform of Finite Signals: Detailed Study of the Algorithm

RAJMIC, P. PRŮŠA, Z.

Original Title

Discrete Wavelet Transform of Finite Signals: Detailed Study of the Algorithm

Type

journal article in Web of Science

Language

English

Original Abstract

The paper presents a detailed analysis of algorithms used for the forward and the inverse discrete wavelet transform (DWT) of finite-length signals. The paper provides answers to questions such as "how many wavelet coefficients are computed from the signal at a given depth of the decomposition" or conversely, "how many signal samples are needed to compute a single wavelet coefficient at a given depth of the decomposition" or "how many coefficients at a given depth are influenced by the selected type of boundary treatment" or "how many samples of the input signal simultaneously influence two neighboring wavelet coefficients at a given depth of the decomposition". As a byproduct, the rigorous analysis of the algorithms gives details needed for the implementation. The paper is accompanied by several Matlab functions.

Keywords

DTWT; wavelet transform; analysis; study; algorithm; details; computation of coefficients

Authors

RAJMIC, P.; PRŮŠA, Z.

RIV year

2014

Released

1. 1. 2014

Publisher

World Scientific Publishing Company

ISBN

0219-6913

Periodical

International Journal of Wavelets Multiresolution and Information Processing

Year of study

12

Number

1

State

Republic of Singapore

Pages from

1450001-1

Pages to

1450001-38

Pages count

38

URL